Doerner, Max, Geiges, Hansjoerg and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2017). Finsler geodesics, periodic Reeb orbits, and open books. Eur. J. Math., 3 (4). S. 1058 - 1076. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 2199-6768
Full text not available from this repository.Abstract
We survey some results on the existence (and non-existence) of periodic Reeb orbits on contact manifolds, both in the open and closed case. We place these statements in the context of Finsler geometry by including a proof of the folklore theorem that the Finsler geodesic flow can be interpreted as a Reeb flow. As a mild extension of previous results we present existence statements on periodic Reeb orbits on contact manifolds with suitable supporting open books.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-208437 | ||||||||||||||||
DOI: | 10.1007/s40879-017-0158-0 | ||||||||||||||||
Journal or Publication Title: | Eur. J. Math. | ||||||||||||||||
Volume: | 3 | ||||||||||||||||
Number: | 4 | ||||||||||||||||
Page Range: | S. 1058 - 1076 | ||||||||||||||||
Date: | 2017 | ||||||||||||||||
Publisher: | SPRINGER INTERNATIONAL PUBLISHING AG | ||||||||||||||||
Place of Publication: | CHAM | ||||||||||||||||
ISSN: | 2199-6768 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/20843 |
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